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Finding the Fourth Proportional to 62,141.31, 85,766.13 and 36,646.16

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Solution

The fourth proportional to 62,141.31, 85,766.13 and 36,646.16 is: 50,578.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,141.31 : 85,766.13 = 36,646.16 : x
  2. Step 2: Convert to fraction form
    62,141.31/85,766.13 = 36,646.16/x
  3. Step 3: Cross multiply
    62,141.31x = 85,766.13 × 36,646.16
  4. Step 4: Simplify right side
    62,141.31x = 3,142,998,893.73
  5. Step 5: Solve for x
    x = 3,142,998,893.73/62,141.31
  6. Step 6: Final answer
    x = 50,578.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.